Unified fractional integral and derivative formulas, integral transforms of incomplete \(\tau \)-hypergeometric function
DOI10.1007/S13370-020-00848-4zbMath1488.26025OpenAlexW3096048290MaRDI QIDQ821284
Publication date: 20 September 2021
Published in: Afrika Matematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13370-020-00848-4
incomplete gamma functionAppell functiongeneralized incomplete \(\tau\)-hypergeometric functionincomplete Pochhammer symbolsSaigo-Maeda fractional integral and derivative operators
Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Integral transforms of special functions (44A20) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)
Uses Software
Cites Work
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Further results on generalized hypergeometric functions
- Generating functions for a certain class of incomplete hypergeometric polynomials
- THE INCOMPLETE GENERALIZED τ-HYPERGEOMETRIC AND SECOND τ-APPELL FUNCTIONS
- The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
- Some results on a generalized hypergeometric function
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